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Finding the Fourth Proportional to 12,583.34, 17,359.71 and 8,335.34

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Solution

The fourth proportional to 12,583.34, 17,359.71 and 8,335.34 is: 11,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.34 : 17,359.71 = 8,335.34 : x
  2. Step 2: Convert to fraction form
    12,583.34/17,359.71 = 8,335.34/x
  3. Step 3: Cross multiply
    12,583.34x = 17,359.71 × 8,335.34
  4. Step 4: Simplify right side
    12,583.34x = 144,699,085.15
  5. Step 5: Solve for x
    x = 144,699,085.15/12,583.34
  6. Step 6: Final answer
    x = 11,499.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.